Forces acting on two stacked blocks

1. The problem statement, all variables and given/known data
A 1.5 kg block rests on top of a 7.5 kg block which are attached using a cord to a pulley - there is no friction anywhere. What force must be applied to the bottom block so the top block accelerates to the right at 2.5 m/s^2?

3. The attempt at a solution
Since we are interested in finding the horizontal force F , I neglected all the forces acting vertically on the two blocks mainly the normal Force , Fn and the weights of them . Am i right in assuming that :

1) there is no friction between the two blocks and as such , the only force acting horizontally on the top block is the tension Ft towards the right ?

2) for the bottom block , I have to assume that the force towards the left , F must be greater than the tension , Ft ?